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The systems belonging to the European Position Determination System (EUPOS) are obliged to have a sub-service for automatic post-processing (APPS) of static satellite user observations based on observations registered by reference stations. The optimization of the number of tie vectors to reference stations is determined by the authors of APPS algorithms and is a key issue. The study validates the determination of the position of a point based on a smaller number of tie vectors than for the standard solution provided by a sub-service on an example of APPS of the Polish Active Geodetic Network (ASG-EUPOS). It was shown that the reduction of the number of tie vectors by one does not result in a significant deterioration of the accuracy of the obtained coordinates. The other objective of this study is to propose a method for comparing 3D sets. This method is based on 3D figures of assessment and a modification of a method for comparing text sets. The proposed method was validated by comparison with the Spearman correlation coefficient and Mahalanobis distance. The usefulness of the method for similarity and dissimilarity analyses of 3D sets has been demonstrated with an example of comparing the combination of reference vectors with a standard solution of APPS of ASG-EUPOS.

Validation of the number of tie vectors in post-processing using the method of frequency in a centric cube